I assume you meant to write
x^2 + y^2 = 100.
That is the equation of a circle centered at the origin with a radius of 10.
dx/dt = (dy/dt)/(dy/dx) can be used to calculate dx/dt.
When y = 8, x^2 = 36 and x = +6 or -6
I'll just use the +6 answer for x, but there are two possible answers here.
2x + 2y*(dy/dx) = 0
dy/dx = -x/y
Since dy/dt = 3,
dx/dt = 3/(-6/8)= -4
If x2 + y2 = 100 and dy/dt = 3, find dx/dt when y = 8.
3 answers
your answer is wrong :(
dx/dt = -4 and 4
1 answer